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Finding the Fourth Proportional to 9,808.70, 14,692.54 and 7,313.46

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Solution

The fourth proportional to 9,808.70, 14,692.54 and 7,313.46 is: 10,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.70 : 14,692.54 = 7,313.46 : x
  2. Step 2: Convert to fraction form
    9,808.70/14,692.54 = 7,313.46/x
  3. Step 3: Cross multiply
    9,808.70x = 14,692.54 × 7,313.46
  4. Step 4: Simplify right side
    9,808.70x = 107,453,367.89
  5. Step 5: Solve for x
    x = 107,453,367.89/9,808.70
  6. Step 6: Final answer
    x = 10,954.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.